TPGs grade coins based on wear. Variety attributions are included if you pay extra for them. BUT Die cracks (which are present on your coin) are not attributes. Therefore TPGs won't note them on the slab.
Die cracks (particularly those on your coin) are often obvious features which are of interest to a few collectors. Those collectors will see them. But they will probably not increase the value of your coin.
IMO only submit your coin to a TPG if you want it graded.
EAC grading is a whole different world. But as I understand it, value is largely based on ANA grading. Problem is that ANA grading only takes into account the date and a particularly scarce or rare varieties. The EAC people refine that, hence they can pick up bargains that we ordinary collectors do know about.